Chapter 3: Q. 347 (page 405)

One number is two more than four times another. Their sum is $- 13$ . Find the numbers.

Short Answer

Expert verified

If one number is two more than four times another and their sum is $- 13$ then those numbers are $- 3 & - 10$ .

Step by step solution

Step 1. Given information

The second number is $2$ more than $4$ times the first number.

The sum of the first number and the second number is $- 13$ .

Step 2. Consider variable for numbers

Consider the first number is n.

The second number is $2$ more than $4$ times the first number.

So the second number is $4 n + 2$ .

Step 3. Solution

The sum of the first number and the second number is $- 13$ .

$n + (4 n + 2) = - 13 5 n + 2 = - 13 5 n = - 15 n = - 3$

The first number is $- 3$ .

The second number is:

$4 n + 2 = 4 (- 3) + 2 = - 12 + 2 = - 10$

So the numbers are $- 3 & - 10$ .

Step 4. Verification

$- 10$ is $2$ more than $4$ times of role="math" $- 3$

$- 10 \overset{?}{=} 4 (- 3) + 2 - 10 \overset{?}{=} - 12 + 2 - 10 = - 10$

The left-hand side is equal to the right-hand side

The sum of $- 3 & - 10$ is $- 13$

$(- 3) + (- 10) \overset{?}{=} - 13 - 3 - 10 \overset{?}{=} - 13 - 13 = - 13$

The left-hand side is equal to the right-hand side, so our answer is correct

the numbers are $- 3 & - 10$

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One number is two more than four times another. Their sum is $- 13$ . Find the numbers.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Consider variable for numbers

Step 3. Solution

Step 4. Verification

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One number is two more than four times another. Their sum is-13. Find the numbers.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Consider variable for numbers

Step 3. Solution

Step 4. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Mechanics Maths

Geometry

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

One number is two more than four times another. Their sum is $- 13$ . Find the numbers.